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Finding the Third Proportional to 152,203 and 242,398.50

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Solution

The third proportional to 152,203 and 242,398.50 is: 386,043.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,203 : 242,398.50 = 242,398.50 : x
  2. Step 2: Convert to fraction form
    152,203/242,398.50 = 242,398.50/x
  3. Step 3: Cross multiply
    152,203x = 242,398.50 × 242,398.50
  4. Step 4: Simplify right side
    152,203x = 58,757,032,802.25
  5. Step 5: Solve for x
    x = 58,757,032,802.25/152,203
  6. Step 6: Final answer
    x = 386,043.85

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.